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131116656 = 24311298563
BaseRepresentation
bin1111101000010…
…10111001110000
3100010201102020110
413310022321300
5232031213111
621002141320
73151321206
oct764127160
9303642213
10131116656
1168014980
1237ab1840
1321219b28
14135b1076
15b79e5a6
hex7d0ae70

131116656 has 80 divisors (see below), whose sum is σ = 382296960. Its totient is φ = 38357760.

The previous prime is 131116651. The next prime is 131116679. The reversal of 131116656 is 656611131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131116651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11031 + ... + 19593.

It is an arithmetic number, because the mean of its divisors is an integer number (4778712).

Almost surely, 2131116656 is an apocalyptic number.

131116656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131116656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191148480).

131116656 is an abundant number, since it is smaller than the sum of its proper divisors (251180304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131116656 is a wasteful number, since it uses less digits than its factorization.

131116656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8614 (or 8608 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 131116656 is about 11450.6181492529. The cubic root of 131116656 is about 508.0260180528.

Adding to 131116656 its reverse (656611131), we get a palindrome (787727787).

The spelling of 131116656 in words is "one hundred thirty-one million, one hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3828 5104 7656 8563 15312 17126 25689 34252 51378 68504 94193 102756 137008 188386 205512 248327 282579 376772 411024 496654 565158 744981 753544 993308 1130316 1489962 1507088 1986616 2260632 2731597 2979924 3973232 4521264 5463194 5959848 8194791 10926388 11919696 16389582 21852776 32779164 43705552 65558328 131116656